package com.xwh.week2;

import java.util.Arrays;

public class Practice18 {
    public static void main(String[] args) {//再次修改，回溯；
         int[][] nums = { // Mutable
                {75},
                {95,64},
                {17,47,82},
                {18,35,87,10},
                {20, 4,82,47,65},
                {19, 1,23,75, 3,34},
                {88, 2,77,73, 7,63,67},
                {99,65, 4,28, 6,16,70,92},
                {41,41,26,56,83,40,80,70,33},
                {41,48,72,33,47,32,37,16,94,29},
                {53,71,44,65,25,43,91,52,97,51,14},
                {70,11,33,28,77,73,17,78,39,68,17,57},
                {91,71,52,38,17,14,91,43,58,50,27,29,48},
                {63,66, 4,68,89,53,67,30,73,16,69,87,40,31},
                { 4,62,98,27,23, 9,70,98,73,93,38,53,60, 4,23},
        };
        System.out.println(method(nums));
    }
    public static int method(int[][] nums){
       for(int i=1;i<nums.length;i++){//先算两侧；
           nums[i][0]+=nums[i-1][0];
           nums[i][nums[i].length-1]+=nums[i-1][nums[i-1].length-1];
       }
       for(int i=2;i< nums.length;i++){
           for(int j=1;j<nums[i].length-1;j++){
               nums[i][j]+=(nums[i-1][j]>nums[i-1][j-1]?nums[i-1][j]:nums[i-1][j-1]);
           }
       }
        int[] num = nums[nums.length - 1];
        Arrays.sort(num);
        return num[num.length-1];
    }
}
